Home
Class 12
MATHS
Prove that (tan theta + cot theta)^(2) =...

Prove that `(tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)theta = "sec"^(2) theta. "cosec"^(2) theta`.

Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos
  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Product of vectors )|73 Videos
  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos
  • IPE-MARCH-2016[TS]

    SRISIRI PUBLICATION|Exercise Section-c(III . Answer any five of the following LAQs:)|6 Videos

Similar Questions

Explore conceptually related problems

2 sec^(2) theta - sec^(4) theta - 2 "cosec"^(2) theta + " cosec"^(4) theta =

|(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

Prove that 1+cot^(2) theta = cosec^(2) theta

If sin theta + cosec theta =2 then sin^(n) theta + cosec^(n) theta =

If tan theta =(1)/(sqrt(7)) and theta is an acute angle , then ("cosec"^(2) theta - sec^(2) theta )/( "cosec"^(2) theta + sec^(2) theta =

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

Prove that [(1 + tan^2 theta)cot theta]/(cosec^2 theta) = tan theta

If cot theta = sqrt(7) and theta does not lie the first quadrant , then ( " cosec"^(2) theta - sec^(2) theta )/( "cosec"^(2) theta + sec^(2) theta )=

sqrt (sec^2 theta + cosec^2 theta) =……...

If sin theta + cos theta = m and sec theta + " cosec " theta = n then

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

    Text Solution

    |

  2. Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=...

    Text Solution

    |

  3. Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)...

    Text Solution

    |

  4. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

    Text Solution

    |

  5. If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =...

    Text Solution

    |

  6. For what values of x in the first quadrant (2 tan x)/( 1- tan ^(2) x) ...

    Text Solution

    |

  7. If A, B, C are angles of a cyclic quadrilateral prove that cos A+ cos...

    Text Solution

    |

  8. If A, B, C, D are angles of a cyclic quadrilateral then P.T sin A - s...

    Text Solution

    |

  9. If alpha , beta are complementry angles such that bsin alpha = a, the ...

    Text Solution

    |

  10. Find the expansion of sin(A+B+C).

    Text Solution

    |

  11. Prove that sin ^(2) ((pi)/(8)+(A)/(2)) - sin ^(2) ((pi)/(8) - (A)/(2))...

    Text Solution

    |

  12. Express cos^(6)A + sin^(6)A interms of sin 2A.

    Text Solution

    |

  13. Simplify tan ((pi)/(4) +A) tan ((pi)/(4)-A)

    Text Solution

    |

  14. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

    Text Solution

    |

  15. Find tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@).

    Text Solution

    |

  16. Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan th...

    Text Solution

    |

  17. Express (1-costheta+sin theta)/(1+cos theta + sin theta) in terms of t...

    Text Solution

    |

  18. Simplify (cot 55^(@)cot35^(@)-1)/(cot55^(@)+cot35^(@))

    Text Solution

    |

  19. Express ((sqrt(3)cos 25^(@)+sin25^(@)))/(2) as a sine of an angle.

    Text Solution

    |

  20. Expres sqrt3 sin 0 + cos 0 as a sine of an angle .

    Text Solution

    |